If two right triangles each have a 30° angle, then the
triangles must be

Answers

Answer 1

Answer:

Both are right triangles. That means they both have a 90∘ angle. They also both have a 30∘ angle.

It follows that both triangles have a 60∘ angle:

180∘−90∘−30∘=60∘.

So they have three angles in common.

The triangles are CONGRUENT as per the AAA rule of congruency.


Related Questions

work out the surface area of the shapes in the attached file

Answers

Answer:

Find the area of every shape

12 x 9 = 108. Don't divide because there is two

12 x 14 = 168

14 x 9 = 126

15 x 14 = 210

108 + 168 + 126 + 210 = 612

____________________

2 x pi x radius x height + 2 x radius x radius x height

466.5

Step-by-step explanation:

this is numbers 1,2 and 3

Answers

Answer:

1. c

i think its right i hope it is im so sorry if it is not

I know this is easy but can someone answer this ?

Answers

Answer: 57.15°F

Step-by-step explanation: If I'm reading this correctly the tempature was 62.4°F at 6:00 PM. By 8:00 PM it dropped by 5.25°F....therefore...all we have to do is...

62.4°F - 5.25°F = 57.15°F

The tempature is 57.15°F at 8 PM, I hope this helps!

does anyone know this?

Answers

Answer:

The ? is 4x * (-2x) = -8x².

Answer:

-8x^2

Step-by-step explanation:

-2x*4x=-8x^2

that's pretty much all the work here, I don't know what else to add in the explanation except for that this is a grid that is supposed to help you learn quadratic factoring

hope this is the right answer

Question in screenshot. Please help

Answers

The answer is D, 48% of the students preferred the sea coast

Answer: D

Step-by-step explanation:

72/150 x 100 = 48%

Samantha is going to the store to buy cat food. A small bag of cat food costs $6 while a large bag costs $14. She plans to buy at least 4 bags of food but spend no more than $56. Which of the following is a possible combination of the types of bags she can buy?

Answers

Answer:

5 small bags of cat food and 1 large bag of cat food

Step-by-step explanation:

bc thats the only one that  was no more than $54 and was at least 4 bags o food :)

Which statement best describes how to determine where f(x)=x^2-x+8 is an even function

Answers

Answer:ogros reconocer a negra denda como el me de una sumatoria que permite calcular ... Como vimos, entre más subdivisiones del intervalo tomemos, mejor será la ... que la aproximan y luego determinar a qué valor tiende el área cuando n ... n k=1 1 ( kYo 1 - — lí X +- o = + (Vé ejemplo 8. a-na-n X () 3 (véase e eje plo 8.)

Step-by-step explanation:

algebra applications: find the value of x and y​

Answers

Answer : The value of x and y is 8 and 10 respectively.

Step-by-step explanation :

As we known that if two parallel lines are cut by a transversal line then consecutive interior angles are supplementary.

From the given figure we conclude that:

[tex]5x-y+150=180[/tex]       ...........(1)

[tex]5x-y=180-150[/tex]

[tex]5x-y=30[/tex]      ............(2)

[tex]5x+y+130=180[/tex]       ...........(3)

[tex]5x+y=180-130[/tex]

[tex]5x+y=50[/tex]        ...........(4)

Now we adding equation 2 and 4, we get the value of x.

[tex]5x-y+5x+y=30+50[/tex]

[tex]10x=80[/tex]

[tex]x=8[/tex]

Now we are putting the value of x in 4, we get the value of y.

[tex]5x+y=50[/tex]

[tex]5(8)+y=50[/tex]

[tex]y=50-40[/tex]

[tex]y=10[/tex]

Therefore, the value of x and y is 8 and 10 respectively.

the median and mean
PLZ HELP

Answers

Step-by-step explanation:

Data Set A: 14, 21, 24, 28, 28, 35

Data Set B: 18, 19, 21, 25, 29,32

Median:

Data Set A = 26

24 + 28 = 52

52/2 = 26

Data Set B = 23

21 + 25 = 46

46/2 = 23

Mean:

Data Set A = 25

14 + 21 + 24 + 28 + 28 + 35 = 150

150/6 = 25

Data Set B = 24

18 + 19 + 21 + 25 + 29 + 32 = 144

144/6 = 24

Fill in the table to help you make a conjecture about the geometric sequence An=(0.5)n-1

N=1,2,3,4,5
A1=1,0.5,0.25,W,0.0625
Sn=1,1.5,x,y,1.9375

W=? X=? Y=?

Answers

Answer:

W = 0.125

X = 1.75

Y = 1.875

Step-by-step explanation:

The geometric sequence looks like of first term 1 , and of common ratio (r=0.5).

Therefore each new term is found by multiplying the previous one by 0.5:

A1 = 1

A2 = 0.5

A3 = 0.25

A4 = 0.125 = W

A5 = 0.0625

And the partial sums are the additions of the terms until the last one considered:

S1 = 1

S2 = 1.5

S3 = 1.75  = X

S4 = 1.875  = Y

S5 = 1.9375

therefore,

W = 0.125

X = 1.75

Y = 1.875

Answer:

The next answers are approaching a number and 2

Step-by-step explanation:

factories 3t+15
factories 3a2+9a
factories a2b+ab2+ab
factories x2-25
factories 16-25×2​

Answers

Answer:

(a) 3t + 15

      3(t + 5)

(b) 3a² + 9a

       3a(a+3)

(c) a²b + ab² + ab

       ab(a +b + 1)

(d) x² - 25

       x(x-25)

(e)  I'm not sure about this one, sorry

Find two consecutive whole numbers that 82 lies between.

Answers

Answer: The question as written is incomplete, but square root of 82 is between the whole numbers 9 and 10, whose squares are 81 and 100 respectively. (Vote me brainliest please)

Does (3, –8) make the equation y = –x + –5 true?

Answers

Answer:
The is true. It provides infinite solutions.

Explanation:
y = -x + -5
-8 = -3 + -5
-8 = -3 - 5
-8 = -8

Suppose that the weights of 5400 registered female Labrador retrievers in the United States are distributed normally with a mean of 62.5 lb and a standard deviation of 2.5 lb. Approximately how many of the Labrador retrievers weigh less than 65

Answers

I believe the normal distribution is symmetrical above and below

the mean.  That tells us that in this kind of distribution, the mean

and the median are the same number ... 50% of the population

is below it, and 50% is above it.

So if the female Labs' weight actually follows a 'normal' distribution

with a mean of 62.5 lbs, then 2,700 of them weigh more than 62.5 lbs

and 2,700 of them weigh less than that. 

The standard deviation doesn't matter.  

Which value of b will cause the quadratic equation x2 + bx + 5 = 0 to have two real number solutions? –5 –3 3 4

Answers

Answer:

b = -5

Step-by-step explanation:

You needy to calculate the Discriminant = b² - 4ac

If D is zero there is one real solution,

If D less then zero there are no real solutions

Only if D is bigger then zero, there are two real solutions.

x² - 5x + 5 D > 0 so 2 real solutions

see attachment.

x² - 3x + 5 D < 0 so no real solutions

x² + 3x + 5 D < 0 so no real solutions

x² + 4x + 5 D < 0 so no real solutions

Answer:

-5

Step-by-step explanation:

It's A on edge I'm doing the assignment rn

What is the acceleration of a toy rocket that accelerates from 10.0 m/s to 30.0
m/s in 15.0 m?

Answers

Answer:

26.67m/s²

Step-by-step explanation:

From the question we are given

Final velocity = 30m/s = v

Initial velocity = 10m/s = u

We were not given time but we were given distance = 15m

Therefore we would be using the formula:

Acceleration = v² - u²/ 2s

Where S = distance

v = final velocity

u = initial velocity

Acceleration (a) = 30² - 10²/ 2 × 15

a = 900 - 100/ 30

a = 200/30

a = 26.666666667m/s²

a = 26.67m/s²

Solve 13+x>11. Enter your answer as an equality

Answers

Answer:

x>-2

Step-by-step explanation:

13+x>11

Subtract 13 from each side

13-13+x>11-13

x>-2

PLZ HELP ASAP!!! Peter and his four brothers combined all of their money to buy a video game. If 25% of the total money is Peter's, and $15.00 of the total money is Peter's, how much do all five brothers have combined?
A: $3.75
B: $75
C: $60
D: 45

Answers

Answer:

c

Step-by-step explanation:

25% = 15$ so 15+15+15+15=60

Verify the identity cosx cos(-x) - sinx sin(-x) =1

Answers

Answer:

(identity has been verified)

Step-by-step explanation:

Verify the following identity:

cos(x) cos(-x) - sin(x) sin(-x) = 1

Hint: | Cosine is an even function.

Use the identity cos(-x) = cos(x):

cos(x) cos(x) - sin(-x) sin(x) = ^?1

Hint: | Sine is an odd function.

Use the identity sin(-x) = -sin(x):

cos(x) cos(x) - -sin(x) sin(x) = ^?1

Hint: | Evaluate cos(x) cos(x).

cos(x) cos(x) = cos(x)^2:

cos(x)^2 - ( - sin(x) sin(x)) = ^?1

Hint: | Evaluate -(-sin(x)) sin(x).

-(-sin(x)) sin(x) = sin(x)^2:

cos(x)^2 + sin(x)^2 = ^?1

Hint: | Use the Pythagorean identity on cos(x)^2 + sin(x)^2.

Substitute cos(x)^2 + sin(x)^2 = 1:

1 = ^?1

Hint: | Come to a conclusion.

The left hand side and right hand side are identical:

Answer: (identity has been verified)

Find the magnitude of the vector from the origin to (-7,5) and write the vector as the sum of unit vectors.

Answers

Answer: The answer is C

[tex]m=\sqrt{(-7)^2 +(-5)^2}=\sqrt{74}[/tex]

The vector (-7,-5) as a sum of unit vectors is -7i-5j

Answer:

C on E2020

Have a Great Day ;)

To find the height of a pole, a surveyor moves 180 feet away from the base of the pole and then, with his eyes (4 feet above the ground), measures the angle of elevation to the top of the pole to be 44 degrees. Draw a picture and label a diagram to represent this situation. What is the height of the pole? Show your work.

Answers

Answer:

177.82397947 ft

Step-by-step explanation:

to find height of of the pole:

tan(44 degrees)=x/180

add the height of the person

x=(180tan(44 degrees) )+4

x=177.82397947 ft

now, round to what point you need to

will mark bianleast plz pzl
Which are the coordinates of the vertices of the reflected figure when triangle ABC is reflected across the x-axis?


A'(5, 3) B'(–3, 2)
C'(–2, –2)


A'(5, 3) B'(3, –2)
C'(2, 2)


A'(–5, –3)
B'(3, –2)

C'(–2, –2)

A'(–5, –3) B'(3, –2)
C'(2, 2)

Answers

Answer:

A'(-5, -3) B'(3, -2) C'(2, 2)

Step-by-step explanation:

count the squares up or down to the x axis from each point and then go the same number of squares on the other side

Which system of equations is graphed below? On a coordinate plane, a line goes through (0, 1) and (4, negative 2) and another goes through (0, negative 6) and (6, 0). x minus y = 6. 4 x + 3 y = 1. x minus y = 6. 3 x + 4 y = 4. x + y = 6. 4 x minus 3 y = 3. x + y = 6. 3 x minus 4 y = 4.

Answers

Answer:

The correct option is (B)

(B) x-y = 6 , 3x+4y = 4

Step-by-step explanation:

As we can see in the graph given below, both lines intersect at (4, -2), which should be the solution of given equations:

Find the values of x and y for (B);

x - y = 6 ⇒ (i)

3x + 4y = 4 ⇒ (ii)

Lets consider equation (i)

x - y = 6

x = 6 + y

Substitute in equation (ii)

3(6+y) + 4y = 4

18 + 3y + 4y = 4

7y = -14

y = -2

Substitute in equation (i)

x - (-2) = 6

x + 2 = 6

x = 6 - 2

x = 4

As solution of part C is also (4, -2), it represents the graph

You can also find the (x, y) for other options the similar way, which will show you they don't have the same value

Answer:

its  B

Step-by-step explanation:

Solve for g
-6g + 3g + 12 > -18
A.g<2
B.g> 2
C.g<10
D.g> 10​

Answers

Answer:

g < 10

Step-by-step explanation:

-6g + 3g + 12 > -18

Combine like terms

-3g +12 > -18

Subtract 12 from each side

-3g+12-12 > -18-12

-3g > -30

Divide each side by -3, remembering to flip the inequality

-3g/-3 < -30/-3

g < 10

Parallel lines r and s are cut by two transversals, parallel lines t and u.

Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of r and u, 13, 14, 15, 16.

How many angles are alternate exterior angles with angle 5?

Answers

Answer:

The answer is 7 angles.  

Step-by-step explanation:

There 7 alternate exterior angles with angle 5.  

Correct me if I'm wrong!

Thank you!!!

The angle that is alternate exterior angles to angle 5 is ∠11 and it is only one.

What is an alternate exterior angles ?

The alternate exterior angles are the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal.

Generally, when a tranversal line cut parallel lines, various angles are formed such as corresponding angles, alternate angles, verticallly oppposite angles.

Hence, the angle that is alternate exterior angles with angle 5 is as follows:

∠11

learn more on alternate exterior angles here: https://brainly.com/question/16244138

Which symbol correctly compared these two fractions

Answers

Answer:

B

Step-by-step explanation:

> = greater than

= this means equal to

< = less than

[tex]\frac{8}{13} =\frac{8}{13}[/tex]

One of the advantages to an employer of paying employees fuoco rate or commission is that the employee is paid based on
their performance What is one disadvantage of this type of pay?

Answers

Answer:

Becomes too focused on earning commission

Step-by-step explanation:

A person can become to focused on earning the commission to the exclusion of the best interests of the customer and the company.

Answer:

The employee becomes too focused on earning commission, so much so that they neglect the interests of the company they work for and its clients.

Hope this helps!

Javier constructed a square by drawing two congruent triangles. Which shows one of the triangles he could have used? A triangle with angles 45 degrees, 45 degrees, and 90 degrees. 2 sides are congruent. A triangle with angles 55 degrees, 35 degrees, and 90 degrees. A triangle with angles 65 degrees, 65 degrees, and blank. A triangle with 3 angles of 60 degrees. All sides are congruent.

Answers

Answer:

The answer is A  triangle with 45 degrees, 45 degrees, and 90 degrees

Step-by-step explanation:

Add.
3x2 - 5x+1
2x2 +9X-6
+
A. 5x2 + 4x + 7
B. 5x2 - 4x + 5
C. 5x2 + 4x-5
D. 5x2 + 14x-5

Answers

Answer:

C

Step-by-step explanation:

3x2 - 5x+1 + 2x2 +9x-6

Combine like terms

5x2+4x-5 which is C

You are welcome and don't for get to click THANKS

The answer is c no cap

Factor completely 16x2 + 40x + 25. (4x − 5)(4x − 5) (2x − 5)(2x − 5) (2x + 5)(2x + 5) (4x + 5)(4x + 5)

Answers

Answer:

work is shown and pictured

Answer:

(4x + 5)(4x + 5)

Step-by-step explanation:

Took test.

Want a more in-depth explanation? Try visiting the Math Nation site.

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